Aspects of higher curvature terms and U-duality

Details Aspects of higher curvature terms and U-duality Aspects of higher curvature terms and U-duality

2007-06-08

arxiv.org/abs/0706.1183v1

Class.Quant.Grav.25:095001,2008

Physics

High Energy Physics

High Energy Physics - Theory

26 pp., 15 figs., plain tex

Scientific paper

10.1088/0264-9381/25/9/095001

We discuss various aspects of dimensional reduction of gravity with the Einstein-Hilbert action supplemented by a lowest order deformation formed as the Riemann tensor raised to powers two, three or four. In the case of R^2 we give an explicit expression, and discuss the possibility of extended coset symmetries, especially SL(n+1,Z) for reduction on an n-torus to three dimensions. Then we start an investigation of the dimensional reduction of R^3 and R^4 by calculating some terms relevant for the coset formulation, aiming in particular towards E_8(8)/(Spin(16)/Z_2) in three dimensions and an investigation of the derivative structure. We emphasise some issues concerning the need for the introduction of non-scalar automorphic forms in order to realise certain expected enhanced symmetries.

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